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82370963241 = 3271797304333
BaseRepresentation
bin100110010110110110…
…0010010011100101001
321212121120111111010100
41030231230102130221
52322143431310431
6101501331340013
75644141430610
oct1145554223451
9255546444110
1082370963241
1131a2a296936
1213b69a51609
1379c93c5048
143db59da877
15222170b4e6
hex132db12729

82370963241 has 24 divisors (see below), whose sum is σ = 136737132480. Its totient is φ = 46806159456.

The previous prime is 82370963197. The next prime is 82370963251. The reversal of 82370963241 is 14236907328.

82370963241 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 0 + 9 + 632 + 4 + 1 = 666.

It is not a de Polignac number, because 82370963241 - 210 = 82370962217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82370963251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3640890 + ... + 3663443.

It is an arithmetic number, because the mean of its divisors is an integer number (5697380520).

Almost surely, 282370963241 is an apocalyptic number.

It is an amenable number.

82370963241 is a deficient number, since it is larger than the sum of its proper divisors (54366169239).

82370963241 is a wasteful number, since it uses less digits than its factorization.

82370963241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304525 (or 7304522 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 82370963241 in words is "eighty-two billion, three hundred seventy million, nine hundred sixty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 179 537 1253 1611 3759 11277 7304333 21912999 51130331 65738997 153390993 460172979 1307475607 3922426821 9152329249 11767280463 27456987747 82370963241